2024 IB DP Business management 模擬試題連答案詳解

An advantage of a private limited company over a sole trader is limited liability. In a private limited company, the owners (shareholders) are only liable for the debts of the business up to the amount they have invested. In contrast, a sole trader has unlimited liability, meaning their personal assets (such as their home or personal savings) can be seized to pay off business debts. This reduces the personal financial risk for the owners.

Award 1 mark for identifying a valid advantage (e.g., limited liability, separate legal identity, easier access to finance). Award 1 additional mark for explaining/developing this advantage in comparison to a sole trader.

Step 1: Calculate the closing balance for October. Opening Balance: \(\$5,000\) + Cash Inflow: \(\$12,000\) - Cash Outflow: \(\$14,000\) = Closing Balance for October: \(\$3,000\). Step 2: The closing balance for October becomes the opening balance for November. Opening Balance for November: \(\$3,000\) + Cash Inflow: \(\$18,000\) - Cash Outflow: \(\$15,000\) = Closing Balance for November: \(\$6,000\).

Award 1 mark for calculating the correct October closing balance (or November opening balance) of \(\$3,000\) (with working shown). Award 1 mark for the correct final November closing balance of \(\$6,000\). Award full 2 marks for the correct final answer of \(\$6,000\) even if no working is shown.

The formula for the acid test (quick) ratio is: \(\text{Acid Test Ratio} = \frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}}\). Substituting the values: \(\text{Acid Test Ratio} = \frac{\text{80,000} - \text{30,000}}{\text{40,000}} = \frac{\text{50,000}}{\text{40,000}} = 1.25\) (or \(1.25:1\)).

Award 1 mark for correct working or formula (e.g., showing \(\frac{50,000}{40,000}\) or stating the correct formula). Award 1 mark for the correct final answer of 1.25 (or 1.25:1). Do not award the final mark if there is a calculation error, but award 1 mark for correct process.

To calculate the acid test ratio, we use the formula: \(\text{Acid Test Ratio} = \frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}}\). Substituting the values: \(\text{Acid Test Ratio} = \frac{150,000 - 40,000}{80,000} = \frac{110,000}{80,000} = 1.375\). Rounded to two decimal places, the ratio is 1.38 (or 1.38:1).

[1 mark] for correct substitution into the formula or showing the intermediate steps: \(\frac{110,000}{80,000}\). [1 mark] for the correct final answer of 1.38 (or 1.375, or 1.38:1). No marks are awarded if only '1.38' is stated without any supporting calculations if working is required, but standard IB practice awards 2 marks for correct final answer with units.

First, calculate the total net profit: \(\text{Total Profit} = \text{Total Net Cash Flow} - \text{Initial Investment} = 280,000 - 200,000 = 80,000\). Next, calculate the average annual profit: \(\text{Average Annual Profit} = \frac{80,000}{5} = 16,000\). Finally, calculate the ARR: \(\text{ARR} = \frac{\text{Average Annual Profit}}{\text{Initial Investment}} \times 100 = \frac{16,000}{200,000} \times 100 = 8\%\).

[1 mark] for correct calculation of average annual profit ($16,000) or showing correct working of the stages of ARR. [1 mark] for correct final answer of 8% (allow 8).

Variance is calculated as the difference between the budgeted and actual figures: \(\text{Variance} = \text{Budgeted Cost} - \text{Actual Cost} = 45,000 - 41,200 = 3,800\). Because the actual cost ($41,200) was lower than the budgeted cost ($45,000), this results in a positive or 'favourable' variance of $3,800.

[1 mark] for the correct numerical calculation of the variance ($3,800). [1 mark] for correctly identifying the variance as Favourable.

First, calculate the Net Cash Flow for October: \(\text{Net Cash Flow} = \text{Cash Inflows} - \text{Cash Outflows} = 24,500 - 18,200 = 6,300\). Next, calculate the Closing Cash Balance: \(\text{Closing Balance} = \text{Opening Balance} + \text{Net Cash Flow} = -5,000 + 6,300 = 1,300\).

[1 mark] for calculation of correct Net Cash Flow of $6,300 or showing appropriate working. [1 mark] for correct closing balance of $1,300 (accept 1,300).

The capacity utilization rate is calculated using the formula: \(\text{Capacity Utilization Rate} = \frac{\text{Actual Output}}{\text{Maximum Capacity}} \times 100\). Substituting the values: \(\text{Capacity Utilization Rate} = \frac{9,300}{12,000} \times 100 = 77.5\%\).

[1 mark] for correct substitution into the formula: \(\frac{9,300}{12,000} \times 100\). [1 mark] for correct final answer of 77.5% (accept 77.5).

Cost of Goods Sold (COGS) is calculated using the formula: \(\text{COGS} = \text{Opening Stock} + \text{Purchases} - \text{Closing Stock}\). Substituting the values: \(\text{COGS} = 12,000 + 85,000 - 15,000 = 82,000\).

[1 mark] for correct substitution of numbers into the COGS formula. [1 mark] for correct final answer of $82,000 (accept 82,000).

To find the missing values, use the following logical steps:

1. **Value [A] (Total Inflows for November):**
$$\text{Total Inflows (Nov)} = \text{Cash Sales} + \text{Debtors}$$
$$\text{[A]} = \$10,000 + \$3,000 = \$13,000$$

2. **Value [B] (Total Outflows for December):**
$$\text{Total Outflows (Dec)} = \text{Raw Materials} + \text{Overheads} + \text{Equipment Purchases}$$
$$\text{[B]} = \$5,000 + \$3,500 + \$0 = \$8,500$$

3. **Value [C] (Opening Balance for October):**
$$\text{Closing Balance} = \text{Opening Balance} + \text{Net Cash Flow}$$
$$\$4,000 = \text{[C]} + \$2,500$$
$$\text{[C]} = \$4,000 - \$2,500 = \$1,500$$

4. **Value [D] (Opening Balance for November):**
The opening balance of one month is always equal to the closing balance of the previous month.
$$\text{[D]} = \text{Closing Balance of October} = \$4,000$$

Award [1 mark] for each correct calculation, up to a maximum of [4 marks]:
- **[A]** = $13,000 (or 13 000) [1 mark]
- **[B]** = $8,500 (or 8 500) [1 mark]
- **[C]** = $1,500 (or 1 500) [1 mark]
- **[D]** = $4,000 (or 4 000) [1 mark]

*Note: Accept correct figures without the dollar ($) sign, but expect the numbers to be mathematically precise.*

To calculate the acid-test ratio:

\(\text{Acid-test ratio} = \frac{\text{Current Assets} - \text{Stock}}{\text{Current Liabilities}}\)

1. Calculate Current Assets excluding stock:
\(\text{Cash} + \text{Debtors} = \$12,000 + \$18,000 = \$30,000\)

2. Calculate Current Liabilities:
\(\text{Overdraft} + \text{Creditors} = \$5,000 + \$15,000 = \$20,000\)

3. Calculate the ratio:
\(\frac{\$30,000}{\$20,000} = 1.5\)

Award 1 mark for correct working that shows the identification of liquid assets (\(\$30,000\)) and current liabilities (\(\$20,000\)), or setting up the correct formula.
Award 1 mark for the correct final answer of 1.5 (or 1.5:1 / 1.5 to 1).

1. Identify the cumulative cash flows:
- Year 1: \(\$40,000\)
- Year 2: \(\$40,000 + \$30,000 = \$70,000\)

2. Determine the remaining amount to be recovered at the end of Year 2:
\(\$90,000 - \$70,000 = \$20,000\)

3. Calculate the fraction of Year 3 required to recover the remaining amount:
\(\frac{\$20,000}{\$40,000} = 0.5\text{ years}\) (which corresponds to 6 months)

4. Total payback period:
\(2\text{ years} + 0.5\text{ years} = 2.5\text{ years}\) (or 2 years and 6 months).

Award 1 mark for correct working showing cumulative cash flows or the calculation of the fractional year requirement (e.g., \(\frac{20,000}{40,000}\)).
Award 1 mark for the correct final answer of 2.5 years (also accept 2 years and 6 months).

A potential source of conflict arises from differing priorities regarding environmental protection and cost control.

1. **Shareholders' objective**: They generally prioritize maximizing profitability, return on investment (ROI), and dividend payments. To achieve this, they may prefer that the chemical plant minimizes capital expenditure on highly advanced, non-mandatory eco-friendly filtration and waste disposal systems.
2. **Local community's objective**: They are highly concerned with negative externalities such as chemical leaks, air pollution, and noise, which can damage public health and decrease local property values. They will lobby for the plant to install the most expensive and effective safety measures.

This creates conflict as the community's demands for safety increase operating costs and reduce the profits available for distribution to the shareholders.

**[1 mark]** for identifying a valid source of conflict (e.g., environmental protection/safety vs. profit/cost reduction).

**[1 mark]** for explaining/describing this conflict clearly in the context of the chemical processing plant, showing how the objectives of shareholders and the local community clash.

One advantage of converting VeloGo into a public limited company (PLC) is the access to massive amounts of financial capital. By selling shares to the general public on a stock exchange, VeloGo can raise the significant funds required to finance its international expansion and invest in high-tech, automated assembly lines for its electric bicycles. This level of capital is typically far beyond what can be raised as a private limited company. One disadvantage is the loss of control for the original founders. Selling shares to the public means ownership is diluted among thousands of new shareholders, and the founders could be outvoted on critical strategic decisions, such as design directions or sustainability practices for their electric bicycles. Additionally, as a PLC, VeloGo becomes vulnerable to hostile takeovers and must publicly disclose its financial performance, potentially giving competitors insights into their manufacturing margins.

Advantage (2 marks total): 1 mark for identifying/explaining a valid advantage of a public limited company (e.g., access to capital, increased prestige, liquidity of shares). 1 mark for applying it clearly to the context of VeloGo (e.g., referencing electric bicycles, international expansion, or automated assembly lines). Disadvantage (2 marks total): 1 mark for identifying/explaining a valid disadvantage of a public limited company (e.g., dilution of control, public disclosure requirements, cost of flotation, risk of takeover). 1 mark for applying it clearly to the context of VeloGo (e.g., referencing the founders' control, strategic direction of bicycle manufacturing, or competitors seeing their financial accounts).

First benefit: Minimizing damage to brand reputation. In the bottled water industry, consumer trust in purity is critical. A pre-established contingency plan would include immediate communication templates and contact lists for the media and regulatory bodies. This allows PureWater to act transparently and swiftly, reassuring the public that they are taking action (such as the nationwide recall) to protect health, which helps preserve long-term brand equity. Second benefit: Speed of response and operational efficiency. The contingency plan outlines a clear chain of command (the crisis management team) and specific protocols for isolating the contamination source. Rather than wasting time in panic and indecision, PureWater staff can immediately execute the shutdown and testing procedures, which minimizes downtime and limits the financial loss and legal liabilities arising from the contaminated batches.

Benefit 1 (2 marks total): 1 mark for outlining/explaining a generic benefit of contingency planning (e.g., faster response times, reduced risk, clear communication). 1 mark for applying it to the context of PureWater (e.g., referencing mineral water purity, bacterial contamination, or the product recall). Benefit 2 (2 marks total): 1 mark for outlining/explaining a second generic benefit of contingency planning (e.g., cost savings, minimized downtime, preservation of brand reputation). 1 mark for applying it to the context of PureWater (e.g., referencing the bottling plant operations, public health impact, or contamination isolation).

A business expansion often creates diverging priorities for stakeholders. Shareholders typically prioritize financial performance, wishing to expand operations at the lowest possible cost to maximize future profitability and dividends. Conversely, the local community is primarily concerned with negative externalities such as increased traffic congestion, noise, and environmental pollution. If the company attempts to satisfy shareholders by minimizing expansion costs, it worsens these local disturbances. If the company spends heavily on mitigation to appease the community, it reduces short-term profitability, creating an inherent conflict of interest.

Award [1] mark for identifying a valid source of conflict (e.g., environmental impact versus cost minimization, or traffic congestion versus increased capacity). Award [1] mark for a detailed explanation that clearly connects the opposing interests of both shareholders (profit/returns) and the local community (quality of life/environment) in the context of the expansion. Maximum award: [2] marks.

Introduction: AeroFast (AF) faces a strategic dilemma between operational risk mitigation (contingency planning) and revenue restoration (marketing campaign) following a major cyber-attack. Option 1: Investing in Contingency Planning and Crisis Management ($250,000). Arguments for: 1. Minimizes future downtime and financial losses by ensuring rapid recovery protocols are in place. 2. Protects brand equity in the long run, reassuring premium clients (e.g., B2B partners) that AF is resilient. 3. Improves staff readiness and response times during a crisis, reducing panic and operational chaos. Arguments against: 1. High opportunity cost of $250,000 which does not directly generate revenue. 2. Does not address the immediate 15% drop in active users, potentially leading to market share loss to competitors in the short term. Option 2: Focus on an Aggressive Marketing Campaign. Arguments for: 1. Directly targets the 15% loss of customer base, boosting short-term sales and cash flow. 2. Shifts public narrative away from the cyber-attack toward positive brand attributes and promotions. Arguments against: 1. Fails to address the root cause of the vulnerability. If another cyber-attack occurs, the marketing investment is entirely wasted. 2. Could be perceived as insincere or a cover-up if customers realize AF has not improved its security and resilience. Evaluation: While marketing addresses immediate revenue needs, a second delivery network outage would likely destroy AF's reputation permanently. Therefore, AF should adopt a balanced approach: immediately allocate the majority of the budget to establish essential contingency plans and security protocols, while using a smaller, cost-effective digital marketing campaign to reassure and incentivize returning users.

Marks 9 to 10: Balanced, well-structured, in-depth analysis of both options with excellent integration of the AeroFast scenario. Business terminology is used accurately throughout. A highly appropriate and fully justified evaluation/recommendation is provided. Marks 7 to 8: Balanced analysis of both options with good use of business terminology and some integration of the case details. A judgment or conclusion is present and supported by the arguments. Marks 5 to 6: Discusses both options or provides an in-depth analysis of one. Some use of theory/terminology, but lacks balance or depth. The judgment is limited or weak. Marks 3 to 4: Understanding of some relevant issues. The response is mostly descriptive with a lack of balance and no evaluation. Marks 1 to 2: Superficially relevant response with no balance or evaluation.